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Finding the Fourth Proportional to 64,821, 97,231.50 and 21,045

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Solution

The fourth proportional to 64,821, 97,231.50 and 21,045 is: 31,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821 : 97,231.50 = 21,045 : x
  2. Step 2: Convert to fraction form
    64,821/97,231.50 = 21,045/x
  3. Step 3: Cross multiply
    64,821x = 97,231.50 × 21,045
  4. Step 4: Simplify right side
    64,821x = 2,046,236,917.50
  5. Step 5: Solve for x
    x = 2,046,236,917.50/64,821
  6. Step 6: Final answer
    x = 31,567.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.